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Fundamentals of Sensors for Engineering and Science
book

Fundamentals of Sensors for Engineering and Science

by Patrick F. Dunn
April 2011
Intermediate to advanced content levelIntermediate to advanced
110 pages
3h 23m
English
CRC Press
Content preview from Fundamentals of Sensors for Engineering and Science
48 Fundamentals of Sensors for Engineering and Science
moves upward and the other leg downward). Thus, the total torque equals
2F
C
h, where h is the lateral distance between the two legs of the tube. Not-
ing that the mass flow rate of the fluid, ˙m = ρUA, the mass flow rate can
be related to the frequency by
˙m =
T
2Lhω
. (2.49)
This can be expressed in terms of the twist displacement angle, θ
tw
, by
noting that θ
tw
= T/K, where K is the elastic stiffness of the tube. Thus,
Equation 2.49 becomes
˙m =
2Lhω
. (2.50)
The twist displacement angle usually is small, such that sin θ ' θ '
y/(h/2), where y is the vertical displacement normal to the plane of
the tube
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Publisher Resources

ISBN: 9781439895252